# For what values of x, if any, does #f(x) = x/(e^x-3x) # have vertical asymptotes?

At every

By signing up, you agree to our Terms of Service and Privacy Policy

The function f(x) = x/(e^x-3x) has vertical asymptotes at x = 0 and x = ln(3).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is # lim_(->-oo) f(x) = e^-x#?
- How do you find the limit of #(sqrt(x^2-1) ) / (sqrt(4x^2+x) )# as x approaches infinity?
- How do you evaluate the limit #sqrt(x^2-2)-sqrt(x^2+1)# as x approaches #oo#?
- How do you find the limit of #(x^2+x-12)/(x-2)# as #x->2#?
- How do you find the limit of # ((1/y) - (1/7))/(y-7)# as y approaches 7?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7